Class PoissonDistribution

java.lang.Object
org.episteme.core.mathematics.statistics.DiscreteDistribution
org.episteme.core.mathematics.statistics.distributions.PoissonDistribution
All Implemented Interfaces:
Function<Real,Real>, ContinuousFunction<Real,Real>, Function<Real,Real>, Relation<Real,Real>, ProbabilityDistribution
public class PoissonDistribution extends DiscreteDistribution
*

Reference:
Poisson, S. D. (1837). Recherches sur la probabilité des jugements en matière criminelle et en matière civile. Bachelier.

Since:
1.0
Author:
Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

  • Constructor Details

    • PoissonDistribution

      public PoissonDistribution(Real lambda)

  • Method Details

    • density

      public Real density(Real k)
      Description copied from interface: ProbabilityDistribution
      Probability density function (PDF) or probability mass function (PMF). f(x) = dP/dx for continuous, P(X = x) for discrete.
      Parameters:
      k - the value to evaluate density at
      Returns:
      the probability density or mass

    • mean

      public Real mean()
      Description copied from interface: ProbabilityDistribution
      Returns the mean (expected value) of this distribution.
      Returns:
      the mean

    • variance

      public Real variance()
      Description copied from interface: ProbabilityDistribution
      Returns the variance of this distribution.
      Returns:
      the variance

    • toString

      public String toString()
      Overrides:
      toString in class Object